Least Common Multiple of 438 and 442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 438 and 442 the smallest integer that is 96798 that is divisible by both numbers.

Least Common Multiple (LCM) of 438 and 442 is 96798.

LCM(438,442) = 96798

LCM of 438 and 442

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 438 and 442

LCM of 438 and 442 is 96798

Least common multiple can be found by multiplying the highest exponent prime factors of 438 and 442. First we will calculate the prime factors of 438 and 442.

Prime Factorization of 438


2 438
3 219
73 73
1

Prime factors of 438 are 2, 3,73. Prime factorization of 438 in exponential form is:

438 = 21×31×731

Prime Factorization of 442


2 442
13 221
17 17
1

Prime factors of 442 are 2, 13,17. Prime factorization of 442 in exponential form is:

442 = 21×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 438 and 442.

LCM(438,442) = 21×31×131×171×731
LCM(438,442) = 96798

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Least Common Multiple of 438 and 442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 438 and 442, than apply into the LCM equation.

GCF(438,442) = 2
LCM(438,442) = ( 438 × 442) / 2
LCM(438,442) = 193596 / 2
LCM(438,442) = 96798

Properties of LCM 438 and 442

(i) The LCM of 442 and 438 is associative

LCM of 438 and 442 = LCM of 442 and 438

Related Least Common Multiples of 438

Related Least Common Multiples of 442

Frequently Asked Questions on LCM of 438 and 442

1. What is the LCM of 438 and 442?

Answer: LCM of 438 and 442 is 96798.

2. What are the Factors of 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

3. What are the Factors of 442?

Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.

4. How to Find the LCM of 438 and 442?

Answer:

Least Common Multiple of 438 and 442 = 96798

Step 1: Find the prime factorization of 438

438 = 2 x 3 x 73

Step 2: Find the prime factorization of 442

442 = 2 x 13 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 96798 = 2 x 3 x 13 x 17 x 73

Step 4: Therefore, the least common multiple of 438 and 442 is 96798.